Atlas961 of 3,942

I.B.1

m₃ = 5

From Li & Liao (2017)

I.B.1 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 35.49 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000782 of each other at a top speed of 1032, line up 128 times a period, and the computed loop closes to 1.7×10⁻²².

Measured over one period

Period: 35.48996326
Masses: 1 : 1 : 5
Energy: -9.05123
Angular momentum: 0
Closest approach: 7.8×10⁻⁶
Top speed: 1032
Path length: 148.97
Alignments per period: 128
Topology: ababababababababaBABABABABABABABAbababababababababABABABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.7×10⁻²²

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.